<?xml version="1.0" encoding="ascii"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
          "DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
<head>
  <title>peach.nn.af.Gaussian</title>
  <link rel="stylesheet" href="epydoc.css" type="text/css" />
  <script type="text/javascript" src="epydoc.js"></script>
</head>

<body bgcolor="white" text="black" link="blue" vlink="#204080"
      alink="#204080">
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
       bgcolor="#a0c0ff" cellspacing="0">
  <tr valign="middle">
  <!-- Home link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="peach-module.html">Home</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Tree link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="module-tree.html">Trees</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Index link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="identifier-index.html">Indices</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Help link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="help.html">Help</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Project homepage -->
      <th class="navbar" align="right" width="100%">
        <table border="0" cellpadding="0" cellspacing="0">
          <tr><th class="navbar" align="center"
            ><a href="http://code.google.com/p/peach">Peach - Computational Intelligence for Python</a></th>
          </tr></table></th>
  </tr>
</table>
<table width="100%" cellpadding="0" cellspacing="0">
  <tr valign="top">
    <td width="100%">
      <span class="breadcrumbs">
        <a href="peach-module.html">Package&nbsp;peach</a> ::
        <a href="peach.nn-module.html">Package&nbsp;nn</a> ::
        <a href="peach.nn.af-module.html">Module&nbsp;af</a> ::
        Class&nbsp;Gaussian
      </span>
    </td>
    <td>
      <table cellpadding="0" cellspacing="0">
        <!-- hide/show private -->
        <tr><td align="right"><span class="options">[<a href="javascript:void(0);" class="privatelink"
    onclick="toggle_private();">hide&nbsp;private</a>]</span></td></tr>
        <tr><td align="right"><span class="options"
            >[<a href="frames.html" target="_top">frames</a
            >]&nbsp;|&nbsp;<a href="peach.nn.af.Gaussian-class.html"
            target="_top">no&nbsp;frames</a>]</span></td></tr>
      </table>
    </td>
  </tr>
</table>
<!-- ==================== CLASS DESCRIPTION ==================== -->
<h1 class="epydoc">Class Gaussian</h1><p class="nomargin-top"><span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian">source&nbsp;code</a></span></p>
<center>
<center>  <map id="uml_class_diagram_for_peach_nn_3" name="uml_class_diagram_for_peach_nn_3">
<area shape="rect" id="node1" href="peach.nn.af.RadialBasis-class.html" title="This class is used as a base class for radial basis functions (RBFs). It is in almost every aspect equal to Activation class, but it is used to distinguish the two types. RBFs are used in Radial Basis Function Networks, in which monotonic activations shouldn&#39;t be used." alt="" coords="24,83,120,127"/>
<area shape="rect" id="node94" href="peach.nn.af.Gaussian-class.html#__init__" title="Initializes the object. Takes no parameters" alt="" coords="17,180,125,199"/>
<area shape="rect" id="node94" href="peach.nn.af.Gaussian-class.html#__call__" title="Call interface to the object." alt="" coords="17,199,125,217"/>
<area shape="rect" id="node94" href="peach.nn.af.Gaussian-class.html#derivative" title="The function derivative." alt="" coords="17,217,125,236"/>
<area shape="rect" id="node2" href="peach.nn.af.Gaussian-class.html" title="Gaussian activation function" alt="" coords="5,147,136,242"/>
<area shape="rect" id="node96" href="peach.nn.af.Activation-class.html#d" title="An alias to the derivative of the function." alt="" coords="41,31,101,49"/>
<area shape="rect" id="node3" href="peach.nn.af.Activation-class.html" title="Base class for activation functions." alt="" coords="29,6,112,63"/>
</map>
  <img src="uml_class_diagram_for_peach_nn_3.gif" alt='' usemap="#uml_class_diagram_for_peach_nn_3" ismap="ismap" class="graph-without-title" />
</center>
</center>
<hr />
Gaussian activation function

<!-- ==================== INSTANCE METHODS ==================== -->
<a name="section-InstanceMethods"></a>
<table class="summary" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
  <td colspan="2" class="table-header">
    <table border="0" cellpadding="0" cellspacing="0" width="100%">
      <tr valign="top">
        <td align="left"><span class="table-header">Instance Methods</span></td>
        <td align="right" valign="top"
         ><span class="options">[<a href="#section-InstanceMethods"
         class="privatelink" onclick="toggle_private();"
         >hide private</a>]</span></td>
      </tr>
    </table>
  </td>
</tr>
<tr>
    <td width="15%" align="right" valign="top" class="summary">
      <span class="summary-type">&nbsp;</span>
    </td><td class="summary">
      <table width="100%" cellpadding="0" cellspacing="0" border="0">
        <tr>
          <td><span class="summary-sig"><a href="peach.nn.af.Gaussian-class.html#__init__" class="summary-sig-name">__init__</a>(<span class="summary-sig-arg">self</span>)</span><br />
      Initializes the object. Takes no parameters</td>
          <td align="right" valign="top">
            <span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.__init__">source&nbsp;code</a></span>
            
          </td>
        </tr>
      </table>
      
    </td>
  </tr>
<tr>
    <td width="15%" align="right" valign="top" class="summary">
      <span class="summary-type">&nbsp;</span>
    </td><td class="summary">
      <table width="100%" cellpadding="0" cellspacing="0" border="0">
        <tr>
          <td><span class="summary-sig"><a href="peach.nn.af.Gaussian-class.html#__call__" class="summary-sig-name">__call__</a>(<span class="summary-sig-arg">self</span>,
        <span class="summary-sig-arg">x</span>)</span><br />
      Call interface to the object.</td>
          <td align="right" valign="top">
            <span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.__call__">source&nbsp;code</a></span>
            
          </td>
        </tr>
      </table>
      
    </td>
  </tr>
<tr>
    <td width="15%" align="right" valign="top" class="summary">
      <span class="summary-type">&nbsp;</span>
    </td><td class="summary">
      <table width="100%" cellpadding="0" cellspacing="0" border="0">
        <tr>
          <td><span class="summary-sig"><a href="peach.nn.af.Gaussian-class.html#derivative" class="summary-sig-name">derivative</a>(<span class="summary-sig-arg">self</span>,
        <span class="summary-sig-arg">x</span>)</span><br />
      The function derivative.</td>
          <td align="right" valign="top">
            <span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.derivative">source&nbsp;code</a></span>
            
          </td>
        </tr>
      </table>
      
    </td>
  </tr>
  <tr>
    <td colspan="2" class="summary">
    <p class="indent-wrapped-lines"><b>Inherited from <code>object</code></b>:
      <code>__delattr__</code>,
      <code>__format__</code>,
      <code>__getattribute__</code>,
      <code>__hash__</code>,
      <code>__new__</code>,
      <code>__reduce__</code>,
      <code>__reduce_ex__</code>,
      <code>__repr__</code>,
      <code>__setattr__</code>,
      <code>__sizeof__</code>,
      <code>__str__</code>,
      <code>__subclasshook__</code>
      </p>
    </td>
  </tr>
</table>
<!-- ==================== INSTANCE VARIABLES ==================== -->
<a name="section-InstanceVariables"></a>
<table class="summary" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
  <td colspan="2" class="table-header">
    <table border="0" cellpadding="0" cellspacing="0" width="100%">
      <tr valign="top">
        <td align="left"><span class="table-header">Instance Variables</span></td>
        <td align="right" valign="top"
         ><span class="options">[<a href="#section-InstanceVariables"
         class="privatelink" onclick="toggle_private();"
         >hide private</a>]</span></td>
      </tr>
    </table>
  </td>
</tr>
  <tr>
    <td colspan="2" class="summary">
    <p class="indent-wrapped-lines"><b>Inherited from <code><a href="peach.nn.af.Activation-class.html">Activation</a></code></b>:
      <code><a href="peach.nn.af.Activation-class.html#d">d</a></code>
      </p>
    </td>
  </tr>
</table>
<!-- ==================== PROPERTIES ==================== -->
<a name="section-Properties"></a>
<table class="summary" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
  <td colspan="2" class="table-header">
    <table border="0" cellpadding="0" cellspacing="0" width="100%">
      <tr valign="top">
        <td align="left"><span class="table-header">Properties</span></td>
        <td align="right" valign="top"
         ><span class="options">[<a href="#section-Properties"
         class="privatelink" onclick="toggle_private();"
         >hide private</a>]</span></td>
      </tr>
    </table>
  </td>
</tr>
  <tr>
    <td colspan="2" class="summary">
    <p class="indent-wrapped-lines"><b>Inherited from <code>object</code></b>:
      <code>__class__</code>
      </p>
    </td>
  </tr>
</table>
<!-- ==================== METHOD DETAILS ==================== -->
<a name="section-MethodDetails"></a>
<table class="details" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr bgcolor="#70b0f0" class="table-header">
  <td colspan="2" class="table-header">
    <table border="0" cellpadding="0" cellspacing="0" width="100%">
      <tr valign="top">
        <td align="left"><span class="table-header">Method Details</span></td>
        <td align="right" valign="top"
         ><span class="options">[<a href="#section-MethodDetails"
         class="privatelink" onclick="toggle_private();"
         >hide private</a>]</span></td>
      </tr>
    </table>
  </td>
</tr>
</table>
<a name="__init__"></a>
<div>
<table class="details" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr><td>
  <table width="100%" cellpadding="0" cellspacing="0" border="0">
  <tr valign="top"><td>
  <h3 class="epydoc"><span class="sig"><span class="sig-name">__init__</span>(<span class="sig-arg">self</span>)</span>
    <br /><em class="fname">(Constructor)</em>
  </h3>
  </td><td align="right" valign="top"
    ><span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.__init__">source&nbsp;code</a></span>&nbsp;
    </td>
  </tr></table>
  
  Initializes the object. Takes no parameters
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><strong class="pname"><code>f</code></strong> - The activation function. It can be created as a lambda function or
any other method, but it should take a real value, corresponding to
the activation potential of a neuron, and return a real value,
corresponding to its activation. Defaults to <tt class="rst-rst-docutils literal rst-docutils literal">None</tt>, if none is
given, the identity function is used.</li>
        <li><strong class="pname"><code>df</code></strong> - The derivative of the above function. It can be defined as above, or
not given. If not given, an estimate is calculated based on the
given function. Defaults to <tt class="rst-rst-docutils literal rst-docutils literal">None</tt>.</li>
    </ul></dd>
    <dt>Overrides:
        object.__init__
    </dt>
  </dl>
</td></tr></table>
</div>
<a name="__call__"></a>
<div>
<table class="details" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr><td>
  <table width="100%" cellpadding="0" cellspacing="0" border="0">
  <tr valign="top"><td>
  <h3 class="epydoc"><span class="sig"><span class="sig-name">__call__</span>(<span class="sig-arg">self</span>,
        <span class="sig-arg">x</span>)</span>
    <br /><em class="fname">(Call operator)</em>
  </h3>
  </td><td align="right" valign="top"
    ><span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.__call__">source&nbsp;code</a></span>&nbsp;
    </td>
  </tr></table>
  
  <p>Call interface to the object.</p>
<p>This method applies the activation function over a vector of activation
potentials, and returns the results.</p>
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><strong class="pname"><code>x</code></strong> - A real number or a vector of real numbers representing the
activation potential of a neuron or a layer of neurons.</li>
    </ul></dd>
    <dt>Returns:</dt>
        <dd>The activation function applied over the input vector.</dd>
    <dt>Overrides:
        <a href="peach.nn.af.Activation-class.html#__call__">Activation.__call__</a>
    </dt>
  </dl>
</td></tr></table>
</div>
<a name="derivative"></a>
<div>
<table class="details" border="1" cellpadding="3"
       cellspacing="0" width="100%" bgcolor="white">
<tr><td>
  <table width="100%" cellpadding="0" cellspacing="0" border="0">
  <tr valign="top"><td>
  <h3 class="epydoc"><span class="sig"><span class="sig-name">derivative</span>(<span class="sig-arg">self</span>,
        <span class="sig-arg">x</span>)</span>
  </h3>
  </td><td align="right" valign="top"
    ><span class="codelink"><a href="peach.nn.af-pysrc.html#Gaussian.derivative">source&nbsp;code</a></span>&nbsp;
    </td>
  </tr></table>
  
  The function derivative.
  <dl class="fields">
    <dt>Parameters:</dt>
    <dd><ul class="nomargin-top">
        <li><strong class="pname"><code>x</code></strong> - A real number or a vector of real numbers representing the
activation potential of a neuron or a layer of neurons.</li>
    </ul></dd>
    <dt>Returns:</dt>
        <dd>The derivative of the activation function applied over the input
vector.</dd>
    <dt>Overrides:
        <a href="peach.nn.af.Activation-class.html#derivative">Activation.derivative</a>
    </dt>
  </dl>
</td></tr></table>
</div>
<br />
<!-- ==================== NAVIGATION BAR ==================== -->
<table class="navbar" border="0" width="100%" cellpadding="0"
       bgcolor="#a0c0ff" cellspacing="0">
  <tr valign="middle">
  <!-- Home link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="peach-module.html">Home</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Tree link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="module-tree.html">Trees</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Index link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="identifier-index.html">Indices</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Help link -->
      <th>&nbsp;&nbsp;&nbsp;<a
        href="help.html">Help</a>&nbsp;&nbsp;&nbsp;</th>

  <!-- Project homepage -->
      <th class="navbar" align="right" width="100%">
        <table border="0" cellpadding="0" cellspacing="0">
          <tr><th class="navbar" align="center"
            ><a href="http://code.google.com/p/peach">Peach - Computational Intelligence for Python</a></th>
          </tr></table></th>
  </tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" width="100%%">
  <tr>
    <td align="left" class="footer">
    Generated by Epydoc 3.0.1 on Sun Jul 31 16:59:38 2011
    </td>
    <td align="right" class="footer">
      <a target="mainFrame" href="http://epydoc.sourceforge.net"
        >http://epydoc.sourceforge.net</a>
    </td>
  </tr>
</table>

<script type="text/javascript">
  <!--
  // Private objects are initially displayed (because if
  // javascript is turned off then we want them to be
  // visible); but by default, we want to hide them.  So hide
  // them unless we have a cookie that says to show them.
  checkCookie();
  // -->
</script>
</body>
</html>
